Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920bi |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15975360000 = 29 · 33 · 54 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20043,1092158] |
[a1,a2,a3,a4,a6] |
Generators |
[109:450:1] |
Generators of the group modulo torsion |
j |
64413688156056/1155625 |
j-invariant |
L |
5.4443266445672 |
L(r)(E,1)/r! |
Ω |
1.1390200489275 |
Real period |
R |
1.1949584754195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920b2 123840t2 61920k2 |
Quadratic twists by: -4 8 -3 |